Ratios

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What is a ratio?

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A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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A ratio can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of girls to boys if there are 7 girls and 5 boys?

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The ratio of girls to boys is 7 to 5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of triangles to squares if there are 4 triangles and 3 squares?

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The ratio of triangles to squares is 4:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you determine if a ratio is part-to-part or part-to-whole?

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A part-to-part ratio compares two parts of a whole, while a part-to-whole ratio compares one part to the entire whole.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of pears to all fruit if there are 5 pears, 4 apples, and 2 bananas?

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The ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Patrick has 2 black, 3 red, and 5 white toy cars, what is the ratio of red toy cars to all toy cars?

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The ratio of red toy cars to all toy cars is 3:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean if a ratio is simplified?

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A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form.

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CCSS.6.RP.A.1

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How can you convert a ratio into a fraction?

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To convert a ratio into a fraction, place the first number over the second number (e.g., a:b becomes a/b).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the importance of understanding ratios in real-life applications?

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Understanding ratios is important for comparing quantities, scaling recipes, analyzing data, and solving problems in finance, science, and everyday life.